Nucleon form factors and parton distributions in nonlocal chiral effective theory

TL;DR

This paper reviews the application of nonlocal chiral effective theory to hadron structure, demonstrating how it regularizes loop integrals and models various nucleon distributions and form factors with momentum dependence.

Contribution

It introduces a nonlocal meson-baryon chiral Lagrangian framework that maintains gauge invariance and models hadron structure more accurately than local approaches.

Findings

Regularization of meson loop integrals via nonlocal correlation functions

Calculation of nucleon electromagnetic form factors and parton distributions

Application to lepton anomalous magnetic moment in nonlocal QED

Abstract

We present a review of recent applications of nonlocal chiral effective theory to hadron structure studies. Starting from a nonlocal meson--baryon effective chiral Lagrangian, we show how the introduction of a correlation function representing the finite extent of hadrons regularizes the meson loop integrals and introduces momentum dependence in vertex form factors in a gauge invariant manner. We apply the framework to the calculation of nucleon electromagnetic form factors, unpolarized and polarized parton distributions, as well as transverse momentum dependent distributions and generalized parton distributions. Assuming that the nonlocal behavior is a general property of all interactions, we also discuss the application to the lepton anomalous magnetic moment in nonlocal QED.